SOC-monotone and SOC-convex functions vs. matrix-monotone and matrix-convex functions-Reference-Cited by-同舟云学术

SOC-monotone and SOC-convex functions vs. matrix-monotone and matrix-convex functions

Published:2012-09 Issue:5 Volume:437 Page:1264-1284
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Pan Shaohua,Chiang Yungyen,Chen Jein-Shan

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference23 articles.

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2. Matrix Analysis;Bhatia,1997

3. Perturbation analysis of second-order cone programming problems;Bonnans;Math. Program.,2005

4. J. Brinkhuis, Z.-Q. Luo, S. Zhang, Matrix convex functions with applications to weighted centers for semi-definite programming, Technical report, SEEM, The Chinese University of Hong Kong, 2005.

5. The convex and monotone functions associated with second-order cone;Chen;Optimization,2006

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1. The P-class and Q-class functions on symmetric cones;Journal of Nonlinear and Variational Analysis;2020

2. Parabolic Second-Order Directional Differentiability in the Hadamard Sense of the Vector-Valued Functions Associated with Circular Cones;Journal of Optimization Theory and Applications;2017-02-07

3. Monotonicity and Circular Cone Monotonicity Associated with Circular Cones;Set-Valued and Variational Analysis;2016-05-14

4. Circular cone convexity and some inequalities associated with circular cones;Journal of Inequalities and Applications;2013-12